82=5n+3(-2+2n)

Solution for 82=5n+3(-2+2n) equation:

Simplifying
82 = 5n + 3(-2 + 2n)
82 = 5n + (-2 * 3 + 2n * 3)
82 = 5n + (-6 + 6n)

Reorder the terms:
82 = -6 + 5n + 6n

Combine like terms: 5n + 6n = 11n
82 = -6 + 11n

Solving
82 = -6 + 11n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-11n' to each side of the equation.
82 + -11n = -6 + 11n + -11n

Combine like terms: 11n + -11n = 0
82 + -11n = -6 + 0
82 + -11n = -6

Add '-82' to each side of the equation.
82 + -82 + -11n = -6 + -82

Combine like terms: 82 + -82 = 0
0 + -11n = -6 + -82
-11n = -6 + -82

Combine like terms: -6 + -82 = -88
-11n = -88

Divide each side by '-11'.
n = 8

Simplifying
n = 8